We present some existence results for the ''nonresonant'' singular boundary value problem 1/pq(py')'+ mu y = f(t, y) a.e. on [0,1] with lim(t-->0) + p(t)y'(t)=y(1)=0. Here mu is such that 1/pq(pu')'+mu u=0 a.e. on [0,1] ...

Existence theory is developed for the ''resonant'' singular problem (1/(pq))(py')' + lambda(0)y = f(t,y,py') almost everywhere on [0, 1] with lim(t-->0+) p(t)y'(t) = ay(1) + blim(t-->1-) p(t)y'(t) = 0. Here lambda(0) ...